A person standing close to the edge on top of a 40-foot building throws a ball vertically upward. The quadratic function h(t)= −16t2 +72t +40 models the ball's height about the ground, h(t) in feet, t seconds after it was thrown. a) What is the maximum height of the ball? b) How many seconds does it take until the ball hits the ground?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...
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A person standing close to the edge on top of a 40-foot building throws a ball vertically upward. The quadratic function h(t)= −16t2 +72t +40 models the ball's height about the ground, h(t) in feet, t seconds after it was thrown.

a) What is the maximum height of the ball?

b) How many seconds does it take until the ball hits the ground?

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